Abstract
In this paper we obtain existence, nonexistence, and multiplicity results for the Dirichlet boundary-value problem $-\Delta u=f_{\alpha}(u+c)$ in a bounded domain $\omega\subset\mathbb R^d,$ with a nonlocal condition $\int_{\omega}f_{\alpha}(u+c)=M.$ The solutions of this BVP are steady states for some evolution system describing self-gravitating Fermi-Dirac particles.
Citation
Robert Stańczy. "Steady states for a system describing self-gravitating Fermi-Dirac particles." Differential Integral Equations 18 (5) 567 - 582, 2005. https://doi.org/10.57262/die/1356060185
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